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Section 4

Chapter 8. Section 4. Adding and Subtracting Radical Expressions. Simplify radical expressions involving addition and subtraction. 8.4. Simplify radical expressions involving addition and subtraction. Objective 1. Slide 8.4- 3.

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Section 4

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  1. Chapter 8 Section 4

  2. Adding and Subtracting Radical Expressions Simplify radical expressions involving addition and subtraction. 8.4

  3. Simplify radical expressions involving addition and subtraction. Objective 1 Slide 8.4- 3

  4. Only radical expressions with the same index and the same radicand may be combined. Expressions such as or cannot be simplified by combining terms. Simplify radical expressions involving addition and subtraction. Slide 8.4- 4

  5. CLASSROOM EXAMPLE 1 Adding and Subtracting Radicals Solution: Add or subtract to simplify each radical expression. Slide 8.4- 5

  6. CLASSROOM EXAMPLE 1 Adding and Subtracting Radicals (cont’d) Solution: Add or subtract to simplify each radical expression. This expression can not be simplified any further. Slide 8.4- 6

  7. Do not confuse the product rule with combining like terms. The root of a sum does not equal the sum of the roots. For example since Simplify radical expressions involving addition and subtraction. Slide 8.4- 7

  8. CLASSROOM EXAMPLE 2 Adding and Subtracting Radicals with Higher Indexes Solution: Add or subtract to simplify the radical expression. Assume that all variables represent positive real numbers. Slide 8.4- 8

  9. CLASSROOM EXAMPLE 2 Adding and Subtracting Radicals with Higher Indexes (cont’d) Solution: Add or subtract to simplify the radical expression. Assume that all variables represent positive real numbers. Slide 8.4- 9

  10. CLASSROOM EXAMPLE 2 Adding and Subtracting Radicals with Higher Indexes (cont’d) Solution: Add or subtract to simplify the radical expression. Assume that all variables represent positive real numbers. Slide 8.4- 10

  11. CLASSROOM EXAMPLE 3 Adding and Subtracting Radicals with Fractions Solution: Perform the indicated operations. Assume that all variables represent positive real numbers. Slide 8.4- 11

  12. CLASSROOM EXAMPLE 3 Adding and Subtracting Radicals with Fractions (cont’d) Solution: Perform the indicated operations. Assume that all variables represent positive real numbers. Slide 8.4- 12

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